4.5 Article

Exponential Synchronization of Complex-Valued Neural Networks Via Average Impulsive Interval Strategy

Journal

NEURAL PROCESSING LETTERS
Volume 52, Issue 2, Pages 1377-1394

Publisher

SPRINGER
DOI: 10.1007/s11063-020-10309-5

Keywords

Exponential synchronization; Impulsive effects; Time-varying delay; Distributed delays

Funding

  1. Research Fund Project of Zhoukou Normal University [ZKNUC2018009]
  2. Scientific Research Program of theHigher Education Institution ofXinjiang [XJEDU2017T001, XJEDU2018Y004]
  3. Doctoral Foundation of Xinjiang University [62008032]
  4. National Natural Science Foundation of China [U1703262, 61563048, 11702237]
  5. Tianshan Xuesong Program [2018XS02]

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In this paper, the issue of the exponential synchronization for complex-valued neural networks with both discrete and distributed delays is investigated by applying impulsive control protocol. Based on the Lyapunov-Krasovskii function, average impulsive interval as well as the comparison principle, some simple verifiable sufficient criteria are established to guarantee the exponential synchronization between the master and the slave systems. Meanwhile, through the serious analysis of the networks systems, the exponential convergence rate can be specified. Additionally, a numerical example is finally given to illustrate the effectiveness of the proposed theoretical results.

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